A resonator is constructed from a 3.0 cm length of 100 air-filled coaxial line, shorted at one end and terminated with a capacitor at the other end, as shown below.
(a) Determine the capacitor value to achieve the lowest order resonance at 6.0 GHz.
(b) Now assume that loss is introduced by placing a 10,000 resistor in parallel with the capacitor. Calculate the unloaded Q.